Laws of falling bodies and the motions of projectiles?

Answer 1

Newton's 2nd law state that the rate of momentum is proportional to the impressed force & the change in momentum takes place in the direction of force.

Mathematically ,

F = dP/dt = m dv/dt + vdm/dt = m dv/dt = ma [for constant mass system

dm/dt = 0]

Application:

In rocket propulsion, rocket propulsion represents a system of variable mass. This situation is analysed by generalising 2nd law to give result.

Thrust generated by leaving mass = urel dM/dt , where urel = velocity (relative) of detached mass w.r.t. parent mass and dM/dt = rate of change of mass

Hence a = urel dM/dt /Mo - dM/dt . t

Answer 2

The laws of falling bodies and the motions of projectiles are the universal laws of gravitation. Two universal bodies attract each other with a force that is directly proportional to the products of their masses and inversely proportional to the square of the distance between them. For things like projectile motion that take place in a planets atmosphere, gravity is treated as the product of the objects mass and the acceleration of gravity on the planet.

Answer 3

Newton's laws of motion are three physical laws that form the basis for classical mechanics. The third law is Whenever a first body exerts a force F on a second body, the second body exerts a force -F on the first body. F and -F are equal in magnitude and opposite in direction. This law is exemplified by what happens if we step off a boat onto the bank of a lake: as we move in the direction of the shore, the boat tends to move in the opposite direction.

Answer 4

Applications of Newton's third law:- In car, the principle used in the seat belts is the same. Also in the shock absorbers of vehicles.

Answer 5

Ballistics

Answer 6

robert